Evaluation of measurement reliability for selected indices of postural stability based on data from the GYKO Inertial Sensor System

The main aim of this study is to use comprehensive statistical analyses to evaluate measurement reliability of selected variables that characterize postural stability. The study examined twenty-nine healthy non-athlete students. The examinations were performed twice, with a one-week interval. The Microgate GYKO inertial sensor system was used to evaluate the reliability of variables that characterize postural stability. The relative reliability of the repeated test was evaluated using the intraclass correlation coefficient (ICC) with 95% confidence interval (95% CI). Next, the standard error of measurement (SEM) and minimal detectable change (MDC) were computed. Relative reliability of the repeated test for all analysed variables of ICC ranged from 0.31 to 0.75. For four variables, ICC values were ca. 0.7, i.e., they can be considered as good. For four other variables, ICC ranged from 0.41 to 0.54, with these values considered fair. Satisfactory reproducibility of postural stability measurements using the GYKO inertial sensor system demonstrates that it can offer an inexpensive and efficient alternative to measurements that use force balance platforms.


INTRODUCTION
In many sports (e.g., skiing, swimming, team games), balance is one of the leading coordination (neurophysiological) abilities.Therefore, monitoring the ability to maintain balance is critical for the comprehensive analysis of the level of athletes' motor preparation, and during recruitment and selection for teams [1,2].A high level of postural stability is also needed to perform everyday activities in a safe and independent manner and to reduce the risk of falling [3,4].
Data from various types of balance platforms are most often used to measure various indicators of postural stability.The results obtained provide a benchmark for other studies ("gold standards").
They allow for evaluation of postural stability based on displacement of the COP (centre of pressure) on the supporting surface during relaxed standing (standing with both feet and one foot) [4,5].Unfortunately, these platforms are usually very big and expensive, while their installation and software are complex [6].Another group of equipment for balance measurements is Wii Balance Boards [7,8,9].
In population studies, balance is examined by means of various motor coordination tests.Among them, the most popular is the Flamingo Balance test from the Eurofit Physical Fitness Test Battery [10].

Other tests have also been used for many years: the Stork Balance
Stand Test, the Y Balance Test, the Stick Lengthwise Balance Test,

ABSTRACT:
The main aim of this study is to use comprehensive statistical analyses to evaluate measurement reliability of selected variables that characterize postural stability.The study examined twenty-nine healthy nonathlete students.The examinations were performed twice, with a one-week interval.The Microgate GYKO inertial sensor system was used to evaluate the reliability of variables that characterize postural stability.The relative reliability of the repeated test was evaluated using the intraclass correlation coefficient (ICC) with 95% confidence interval (95% CI).Next, the standard error of measurement (SEM) and minimal detectable change (MDC) were computed.Relative reliability of the repeated test for all analysed variables of ICC ranged from 0.31 to 0.75.For four variables, ICC values were ca.0.7, i.e., they can be considered as good.For four other variables, ICC ranged from 0.41 to 0.54, with these values considered fair.Satisfactory reproducibility of postural stability measurements using the GYKO inertial sensor system demonstrates that it can offer an inexpensive and efficient alternative to measurements that use force balance platforms.and easy to use in population studies [12,13,14].The use of accelerometery [15,16,17,18,19] for recording body sway gained popularity when the costs of accelerometers with improved measurement parameters fell, and wireless technology became commonplace.ICC (intraclass correlation coefficient) values obtained during postural stability measurements performed by means of accelerometers are good, usually over 0.75 [20].Studies have also demonstrated a strong correlation between results obtained from force platforms and accelerometer data.The location of accelerometers on the human body is also an important issue due to various links between the movements of individual body segments and COM (centre of mass) displacements used to maintain postural stability.In his research, Golema, based on correlation coefficients, determined the relationships between COM and body trunk displacements.The results demonstrated that body trunk displacements (displacements of a point located near the body trunk centre of gravity) can be considered the same as those of COM.This assumption applies only to maintaining postural stability in undisturbed conditions [21].
apart and the participant was asked to look at a point on the wall at a distance of ca.2.5 m.The group of university students always performed the first and second series of examinations at the same time of the day.The same research team supervised both test series.The tests and retests were conducted with a one-week interval.This approach has often been used in studies examining test reliability [23,24].During the first examination, we determined the height at which the GYKO system was to be attached.According to the manufacturer's recommendations, this height should be set at the level of the T1-T2 thoracic vertebrae.During the second examination, the GYKO system was attached again at the same height.The tension of the GYKO attaching straps (chest circumference) was also adjusted to each student.The wireless transmission protocol was used to transfer data recorded by the GYKO inertial sensor to the laptop.

Statistical analysis
1.The Shapiro-Wilk test was used to assess variables for normal distribution, whereas Levene's test was employed to assess the equality of variances.

Basic descriptive statistics (arithmetic mean, standard deviation)
were computed for all the variables in both series of examinations (test, retest) and for the material in total.
Therefore, in our study, we measured the variables that characterize postural stability by means of the GYKO inertial sensor system (Microgate, Bolzano, Italy) located on the body trunk of study participants.
The primary objective of this report was to evaluate the repeatability of measurements of selected variables characterizing postural stability.

Study group
The study examined

Technical specifications of the GYKO device
GYKO is an inertial measurement unit (IMU), consisting of an accel-

Testing protocol
The participants performed all the tests barefoot, in the same room, between 8 a.m. and 3 p.m.A test was performed for 30 s while standing on both feet, without moving, with eyes open and arms relaxed along the sides of the body.Feet were positioned hip width 8.The differences between means from test and used the repeated-measures Student's t-test.We used the non-parametric Wilcoxon pair test if the distribution of variables differed from normal.Furthermore, the Cohen effect was also computed for each variable [34].
The calculations were performed using STATISTICA software (v.12, StatSoft, Krakow, Poland), and Excel (2016 MSO, Microsoft Corporation, Redmond, WA, USA).Furthermore, the effect size was determined by means of GPower 3.1 free software and available for Mac OS X and Windows, which is widely used in social studies [35].There are no unequivocal criteria for the evaluation of measurement reliability in the literature.Landis and Koch [36] proposed adopting the following reliability criteria: 0.01 to 0.20 -slight; 0.21 to 0.40 -fair; 0.41 to 0.60 -moderate; 0.61 to 0.80 -substantial; 0.81 to 1.00 -almost perfect.These reliability ranges have been respected by many researchers, but they have also been rejected or modified by others.The following criteria for ICC have also been adopted in studies: values in the range of 0.80 to 1.00 are considered excellent reliability, values in the range of 0.60 to 0.80 represent good reliability, while an ICC lower than 0.60 means poor reliability [30,31].Munro proposed a popular classification of ICC: values between 0.00 to 0.25 reflect little correlation; 0.26 to 0.49 -low correlation; 0.50 to 0.69 -moderate correlation; 0.70 to 0.89 -high correlation; and 0.90 to 1.00 -very high correlation [37].

RESULTS
Given various methodological approaches to balance tests, the classification proposed by Fleiss et al. [38] used in many publications seems to be the most justified, with ICC values > 0.75 labelled excellent, > 0.40 -fair to good, and < 0.40 -poor.This interpretation of ICC was also adopted in our study.Analysis of the literature concerning this subject reveals that in comparative studies, ICCs ranged from average and poor to high [24,39].The results obtained in our study for ICC reliability coefficients support these findings.
Most of the reliability indices calculated in our study (according to the adopted classification) can be considered as fair and high.The found for convex hull area, which was also characterized by the highest measurement reliability.
The SEM values were used to compute the minimal detectable change, MDC 95 .For the analysed variables, the values ranged from 33% to 82%.The lowest values of MDC 95% were obtained for length (ML) and mean velocity (ML).The highest MDC 95% was again obtained for convex hull area.In general, analysis of the data shown in Table 2 concerning MDC 95 and ICC revealed high values at good and satisfactory measurement reliability.
The study also analysed the statistical significance of differences between the results of individual variables obtained for test and retest (Table 3) and Cohen effect size.Statistically significant differences were found only for two variables: length (AP) and mean velocity (AP).It should be emphasized that the likelihood, p = 0.040, was close to the limit of the set level of statistical significance (p ≤ 0.05).No statistically significant differences were found between other variables.As suggested by Cohen, the effect size for six variables was small (below 0.2), whereas a medium effect was observed for the remaining four variables (between 0.22 and 0.30).

DISCUSSION
The reliability of a diagnostic method is one of the most important factors that determine its usefulness.Determination of the reliability and validity of measurements with respect to the so-called gold standard has practical implications for athletes and coaches.The main aim of this study was to verify measurement reproducibility for selected variables that characterize postural stability using comprehensive statistical analyses.A mobile Microgate GYKO inertial sensor system was used in the study.We will refer the results of our study to only certain comparative materials.This methodological approach for recording the following variables: power and speed of lifting a weight and monitoring of postural stability (recording of several variables).It offers options for analysis of body sway during gait, running and jumping, and evaluation of postural stability.A detailed description of the technical specifications of the accelerometer can be found in the manual [22].
Evaluation of measurement reliability for selected indices of postural stability based on data from the GYKO Inertial Sensor System.Biol Sport.2024;41(2):155-161.

TABLE 1 .
Basic statistical characteristics of the analysed postural stability indices interpreted as the lowest value of changes needed to exceed the error of measurement for two repeated tests at specific CI.Computations were performed for 95% CI using the formula: 7. Next, MDC 95 was expressed as the percentage of the mean from the test and retest, according to the formula:

Table 1
(AP), whereas the highest values were found for area.For four variables, ICC values were ca.0.7, i.e., they can be considered as good to excellent.Furthermore, for four variables, ICC values ranged from 0.41 to 0.54 and can be considered fair.Furthermore, low ICC values were obtained for two variables: mean distance (AP) and RMS distance (AP).It should be emphasized that all low ICC values concerned anterior-posterior sway (AP).Table 2 also presents standard error of measurement (SEM), which is used to express absolute measurement reliability.In general, SEM% for all analysed variables ranged from 11 to 30%.High ICC = 0.70 values at low standard error of ca.11-12% were obtained for length (ML) and mean velocity (ML).Furthermore, the highest SEM% was

TABLE 2 .
Values of intraclass correlation coefficient (ICC), standard error of measurement (SEM) and minimal detectable change (MDC 95 ) for the analysed indices of postural stability.adopted due to the high number of scientific studies on reliability of postural stability measurements (various measurement apparatus, tests during standing on one leg, two legs, on stable or unstable ground, with eyes open or closed, with hands on hips or crossed on the chest, tests for the population of healthy people and those with geriatric problems, tests of people of different ages).
ICC -coefficient of intraclass correlation, 95% CI -confidence interval, SEM -standard error of measurement, SEM% -percentage standard error of measurement, MDC -minimal detectable change.was

TABLE 3 .
Results of the evaluation of the significance of differences in the analysed variables of postural stability between test and retest and Cohen's effect sizes.
Without marking -value of the Student t-statistic for dependent samples; W -value of the Wilcoxon test statistic; C -Cohen's effect size, d > 0.2 = small, > 0.5 = medium, > 0.8 = large.*Significant at p ≤ 0.05.